I am writing to find out whether or not special licensing needs to be obtained for use of this program on several computers at a single facility within a large organization. Any information that you can provide would be greatly appreciated.
Thanks
Short answer: You don’t need to pay anything to use LibreOffice. You can use LibreOffice for any kind of use even commercial for free of charge.
Long answer (see endolith’s answer): Can i sell software that uses Libre Office
But if you gonna migrate from Microsoft Office to LibreOffice specially in large organization, don’t do it blindly, because you have a good chance to fail. Recommendations for large organizations (official white paper) - READ THIS VERY CAREFULLY: http://documentfoundation.files.wordpress.com/2013/03/tdf-migrationwhitepaper1.pdf
Also a good migration sources to read:
http://www.infoworld.com/d/open-source-software/libreoffice-every-desk-10-step-plan-215370
http://www.techrepublic.com/blog/smb-technologist/help-migrate-users-from-microsoft-office-to-libreoffice-41/
There are large organizations that migrated successfully like German city Munich: http://www.itworld.com/it-managementstrategy/304131/munich-shifts-libreoffice and Italian Umbria: http://blog.documentfoundation.org/2013/06/05/regione-umbria-awarded-for-the-migration-to-libreoffice/ and Denmark Copenhagen: https://joinup.ec.europa.eu/news/dk-25000-hospital-staff-copenhagen-region-use-open-source-office-suite and French government: http://www.computerworlduk.com/news/open-source/3400404/french-government-to-use-postgresql-and-libreoffice-in-free-software-adoption-push/ BUT BUT BUT there are also the ones with big fail (specially because migration was not taken serious enough) like German city Freiburg: http://www.computerworld.com.au/article/442330/german_city_says_openoffice_shortcomings_forcing_it_back_microsoft/
The whole point is in large organizations PLEASE DO NOT! migrate without preparing yourself.
A short look at http://www.libreoffice.org/features/ will give you the answer that there is no license needed.
Have fun with LibO!